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The radiations emitted by the sun are an...

The radiations emitted by the sun are analyzed and the spectral energy distribution curve is plotted. as shown. The radius of the sun is `R`, the earth is situated a distance `'d'` from the sun. Treat the sun as perfectly black body which radiates power at constant rate fill till its store of hydrogen gets exhausted. (Stefan's constant `= sigma`, Wien's constant `=b`, speed of light `=c`)

Assume the sun produces energy only by nuclear fusion of hydrogen nuclei and the fraction of nuclear mass of hydrogen that can be converted to energy is `eta`. How long will the sun keep on emittied the energy if the mass of hydrogen at present in Sun's core is m?

A

`(etamc^(2)lambda_(m)^(4))/(piR^(2)sigmab^(4))`

B

`(etamc^(2)lambda_(m)^(4))/(4piR^(2)sigmab^(4))`

C

`(etamc^(2)lambda_(m)^(4))/(2piR^(2)sigmab^(4))`

D

`(2etamc^(2)lambda_(m)^(4))/(piR^(2)sigmab^(4))`

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The radiations emitted by the sun are analyzeed and the spectral energy distribution curve is plotted. as shown. The radius of the sun is R , the earth is situated a distance 'd' from the sun. Treat the sun as perfectly black body which radiates power at constant rate fill till its store of hydrogen gets exhausted. (Stefan's constant = sigma , Wien's constant =b , speed of light =c ) If the earth is at a distance 'd' from the sun the intensity of light falling on the earth (called solar constant S) is

The surface temperature of the sun is T_(0) and it is at average distance d from a planet. The radius of the sun is R . The temperature at which planet radiates the energy is

Knowledge Check

  • Light from the sun reaches the earth approximately in

    A
    5s
    B
    50s
    C
    500s
    D
    0.5s

  • The mean distance from Saturn to the sun is 9 times greater than the mean distance from Earth to the sun. how long is a saturn year?

    A
    18 Earth years
    B
    27 earths years
    C
    81 earth years
    D
    243 earth years

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